CAMP (Computational, Applied Mathematics and PDE) Seminar

The seminar meets regularly on Wednesdays at 4pm in Eckhart 202. We also have special seminars during other days. To subscribe or unsubscribe the email list, you may either go to Camp/PDE email list or contact Cornelia Mihaila.



Fall 2018 Schedule.

October 3
Pierre-Louis Lions, College de France and Universite de Paris-Dauphine, Eckhart 202, 4pm.
TBA
TBA
October 10
Pierre-Louis Lions, College de France and Universite de Paris-Dauphine, Eckhart 202, 4pm.
Stochastic PDEs
TBA
October 24
Guillaume Bal, University of Chicago, Eckhart 202, 4pm.
TBA
TBA
October 31
Sam Stechmann, University of Wisconsin at Madison, Eckhart 202, 4pm.
Asymptotics and New PDEs for Moist Atmospheric Dynamics with Phase Changes
Clouds and precipitation are among the most challenging aspects of weather and climate prediction. A related challenge is that our understanding of atmospheric dynamics is largely based on 'dry' dynamics without consideration of water vapor and phase changes. New mathematical and physical insight are needed. In this direction, in this talk, we investigate the PDEs of weather prediction models, or simplified versions of them, which essentially describe atmospheric fluid dynamics with phase changes of water. In an asymptotic limit, we derive precipitating quasi-geostrophic (PQG) equations that move beyond the traditional 'dry' QG equations. The PQG equations include interesting Heaviside nonlinearities due to phase changes of water. As illustrations and example applications, we will also describe new viewpoints of basic features such as fronts and conserved energies.
November 7
Robert Strain, University of Pennsylvania, Eckhart 202, 4pm.
TBA
TBA
November 28
Chenchen Mou, UCLA, Eckhart 202, 4pm.
Coupling levy measures and comparison principles for viscosity solutions
We prove new comparison principles for viscosity solutions of non-linear integro-differential equations. The operators to which the method applies include but are not limited to those of Levy-Ito type. The main idea is to use an optimal transport map to couple two different Levy measures, and use the resulting coupling in a doubling of variables argument. This is a joint work with Nestor Guillen and Andrzej Swiech.
December 5
Nam Le, Indiana University, Eckhart 202, 4pm.
TBA
TBA

For questions, contact Cornelia Mihaila at: cmihaila [at] math [dot] uchicago [dot] edu.

Upcoming quarters:

Winter 2019 Spring 2019

Previous quarters:

Spring 2018 Winter 2018 Fall 2017 Spring 2017 Winter 2017 Fall 2016 Spring 2016 Winter 2016 Fall 2015 Spring 2015 Winter 2015 Fall 2014 Spring 2014 Winter 2014 Fall 2013 Spring 2013 Winter 2013 Fall 2012 Spring 2012 Winter 2012 Fall 2011 Spring 2011 Winter 2011 Fall 2010 Spring 2010 Winter 2010 Fall 2009 Spring 2009